Linear Spinor Fields in Relativistic Dynamics

Abstract

Linear spinor fields are a generalization of the Dirac field that have transparent cluster decomposability properties needed for classical correspondence of relativistic quantum systems. The algebra of these fields directly incorporate gravitation within a group that unifies the dynamics of the same number of additional hermitian carriers of quantum numbers as there are gauge fields in SU(3)$\times$SU(2)$\times$U(1). They also provide a mechanism for the dynamic mixing of massless neutrinos using a "transverse mass" conjugate to the affine parameter labeling translations along its light-like trajectory, consistent with those in the standard model.